Simplify the following fraction:
90/20

Answer:

41 inches of wire will cost 164 cents.

Step-by-step explanation:

1st Method

Use proportions!

18/ 72 = 41/ c

Cross multiply

18 * c = 72 * 41

18c = 2952 divide both sides by 18

c = 164

2nd Method.

Find the rate of the costs. r = rate

18*r = 72

r = 4 cents/inch

Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!

41 inch * r (cents/inch)          inches cancels out.

41 * 4 = 164

164 cents

5(-2)² - 9

First, solve the one in the bracket which is -2 × -2 which gives us =4

5(4) - 9

Then, multiply 5 with 4 so

20 - 9

Then you'll get 11

Answer:

blank chart

Step-by-step explanation:

Step-by-step explanation:

The formula used to determine the terms is

an = a1 × rn - 1

It is given that

a1 = 4

a8 = -8,748

Substituting the values in the formula

-8748 = 4 × r8 - 1

r7 = -8748/4

r7 = -2187

r = -3

So the 16th term is

a16 = 4 × 316-1

a16 = -57395628

Therefore, the 16th term is -57395628.

Step-by-step explanation:

Explanation:

Less Men, means more Days {Indirect Proportion}

Let the number of days be x then,

27 : 36 :: 18 : x

[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]

=>27x = 36 * 18

=> x = 24

So 24 days will be required to get work done by 27 men..

Answer:

36 men can complete work in 18 days

so, one man can complete work in 18×36 days

Therefore, 27 can complete work in 18×36/27 = 24 days

Step-by-step explanation:

Answer:

1.3 x 10^6

8.825 x 10^8

1.25 x 10^4

5.167 x 10^7

Step-by-step explanation:

The values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex]  (2[tex]e^{2x}[/tex] + 1 ).

Option C is the correct answer.

Given,

f(x)=5x^4 and g(x)=e^2x+x.

If h is the function defined by h(x)=f(g(x)),

We need to find h′(x).

We have,

dx/dx = 1

d[tex]x^{n}[/tex]/dx = n[tex]x^{n-1}[/tex]

d[tex]e^{x}[/tex]/dx = [tex]e^{x}[/tex]

d[tex]e^{n}[/tex]/dx = [tex]ne^{n}[/tex]

d(cx)/dx = c(dx/dx) = c

We have,

- f(x)=5[tex]x^{4}[/tex] ______(1)
- g(x)=[tex]e^{2x}[/tex]+x ______(2)

- h(x)=f(g(x)) _______(3)

Now,

h(x) = f ( [tex]e^{2x}[/tex]+x )

From (1)

h(x) = 5[tex](e^{2x} + x) ^{4}[/tex] ______(4)

Now,

Differentiate (4)

h'(x) = 5 d[tex](e^{2x} + x) ^{4}[/tex]/dx

h'(x) = 5 x 4 [tex](e^{2x} + x) ^{3}[/tex] d [tex](e^{2x} + x)[/tex] / dx

h'(x) =20 [tex](e^{2x} + x) ^{3}[/tex] ( d[tex]e^{2x}[/tex]/dx + dx/dx )

h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex]  (2[tex]e^{2x}[/tex] + 1 )

Thus the values of h'(x) is h'(x) = 20 [tex](e^{2x} + x) ^{3}[/tex]  (2[tex]e^{2x}[/tex] + 1 ).

Option C is the correct answer.

Learn more about differentiation here:

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Answer:The area of the field is 57600 square feet.

Step-by-step explanation:

Answer:

57600 square feet.

Step-by-step explanation:

360 x 160 = 57600.

Answer:

Your smart maybe

Step-by-step explanation:

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The second line of the function is ...

  f(x) = 6, x ≥ 3

This tells you that portion of the graph is the horizontal line y = 6, extending to the right from x = 3, and that there will be a solid dot at (3, 6).

This shows only on the attached graph.

Answer:

4th graph

Step-by-step explanation:

the answer is table d !! good luck :)

Answer:

x = 5/8 = 0.625

Step-by-step explanation:

Answer:

Amal and Ji rent the same amount of per hour but Amal had a starting fee of $75

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

5x−4≥12 AND 12x+5≤−4

solve it separately

5x - 4>=12

add 4 on both sides

5x >= 16

Divide both sides by 5

x > = 16/5

12x+5≤−4

subtract 5 from both sides

12x <= -9

divide both sides by 12

x<= -9/12

x<=-9/12   and x>= 16/5

There is no intersection between the inequalities

so there is no solution

Answer:

1. Hight (in.)

2.Arm span (in.)

3.(30,27)

Answer:

1. Hight (in.)

2.Arm span (in.)

3.(30,27)

Step-by-step explanation:

I'm late but hope this helps

Answer:

Yes

Step-by-step explanation:

Because the figure is only 1 product or thing

Yes. Since the angle of rotation is the​ same, the distance that each point moves is the same.

Using a system of equations, it is found that the number of blue M&Ms in the package is of:

D. 105

In this problem, the variables are:

There are 305 M&Ms, hence:

[tex]x + y + z = 305[/tex]

There are three times as many red as white, hence:

[tex]x = 3y[/tex]

[tex]x + y + z = 305[/tex]

[tex]3y + y + z = 305[/tex]

[tex]4y + z = 305[/tex]

The blue are five more than twice the white, hence:

[tex]z = 5 + 2y[/tex]

Then:

[tex]4y + z = 305[/tex]

[tex]4y + 5 + 2y = 305[/tex]

[tex]6y = 300[/tex]

[tex]y = \frac{300}{6}[/tex]

[tex]y = 50[/tex]

[tex]z = 5 + 2y = 5 + 2(50) = 105[/tex]

Hence option D is correct.

To learn more about system of equations, you can take a look at https://brainly.com/question/24823220

Answer:

y = -4 x -9

Step-by-step explanation:

If it wrong i'm sorry

Answer:

3. W=4, L=10

4. W=4, L=8

Step-by-step explanation:

3.

L = 3W-2

W = W

P = 2L + 2W

P = 2(3W-2)+2W

P=28

2(3W-2)+2W=28

8W-4=28

8W=32

W=4

L=3W-2, or 10

Check: 2(4)+2(10) = 28? Yes

4.

L=2W

W=W

P=24

2L+2W=24

2(2W)+2W=24

6W=24

W=4

L=8

Check: 2(8)+2(4)=24 ? 16+8 = 24 Yes

there's not information for me to help. what are the choices in the word box?

Answer:

Since there are 6 sides to a cube, the probability of rolling anything but 5 is five out of six.

Fraction is 5/6

To find the decimal, divide 5 by 6 and round to the nearest hundredth

Decimal is 0.83

Then to find the percent you slide the decimal over two spaces.

Percent is 83%

The ratio is 5:6\

Answer:

Below.

Step-by-step explanation:

As there are a total of 6 numbers on a cube:

p(2) = 1/6  or 0.17 or 16.67%.

Answer:

20x15=300

When you need to calculate the Length and Width of a piece of land or anything else, all you need to do is multiply the two numbers.

Step-by-step explanation:

When you have 20 units of land in as the length and 15 units of land as width, then you should multiply.

2x4=?

When you do 2x4, you have to do 2+2+2+2=

but, here, you have a piece of land to calculate, so basically, you have to multiply still. In that way, you will be able to get what 20 and 15's product is.

I'm sorry, sometimes I just can't explain that well, but just remember, in these types of problems, just multiply, that is your answer.

Thank You! I hope I made your day just a little better!

Have a great time studying!

Answer:

The answer I think, might be or possibly is A 20 aq ft. Bcuz, if you use the 1:4 scale, you'll get like for an example, 20:80..So, 5:? must be 5:20..get what I mean??? it's kinda tuff for me to explain since English is not my first language but thereee you go XD

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x > 0.9475[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]4x + 1.21 > 5\\\rule{150}{0.5}\\\rightarrow 4x + 1.21 - 1.21 > 5 - 1.21\\\\\rightarrow 4x > 3.79\\\\\rightarrow \frac{4x>3.79}4}\\\\\rightarrow \boxed{x > 0.9475}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

a) 4x+4

b) 7x-14

c) 12x +18

d) 10x-10y

Answer:

4x+4

7x-14

12x+18

10x-10y

Step-by-step explanation:

Answer:

-Scalene

- Isosceles

-Perpendicular lines

Answer:

-9/6 or -3/2

Step-by-step explanation:

To find the x intercept, substitute y = 0 into the equation:

6x + 3(0) = -9

Now simplify,

6x + 0 = -9

6x = -9

x = -9/6 → -3/2

Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead

The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Let the speed of one bicyclist=x mph

Let the speed of the other bicyclist=(x+3) mph

Hence:

Speed of one bicyclist:

3x+3(x+3)+2=98

3x+3x+9+2=98

6x=87

Divide both side by 6x

x=87/6

x=14.5 mph

Speed of the other bicyclist:

x+3 mph

14.5 mph+3 mph

=17.5 mph

Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Learn more here:

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